Atkin-Lehner |
3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47481n |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
462720 |
Modular degree for the optimal curve |
Δ |
1292592878451 = 35 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
1 3- -1 7+ -6 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-863994,-309182555] |
[a1,a2,a3,a4,a6] |
Generators |
[-34348:17199:64] |
Generators of the group modulo torsion |
j |
29707288174257450169/538356051 |
j-invariant |
L |
7.1160224220032 |
L(r)(E,1)/r! |
Ω |
0.1565928519329 |
Real period |
R |
2.2721415231188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47481g1 |
Quadratic twists by: -7 |